Module Details |
The information contained in this module specification was correct at the time of publication but may be subject to change, either during the session because of unforeseen circumstances, or following review of the module at the end of the session. Queries about the module should be directed to the member of staff with responsibility for the module. |
Title | INTRODUCTION TO STATISTICS | ||
Code | MATH162 | ||
Coordinator |
Dr BN Vasiev Mathematical Sciences B.Vasiev@liverpool.ac.uk |
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Year | CATS Level | Semester | CATS Value |
Session 2016-17 | Level 4 FHEQ | Second Semester | 15 |
Aims |
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To introduce topics in Statistics and to describe and discuss basic statistical methods. To describe the scope of the application of these methods. |
Learning Outcomes |
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to describe statistical data; |
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to use the Binomial, Poisson, Exponential and Normal distributions; |
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to perform simple goodness-of-fit tests |
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to use the package Minitab to present data, and to make statistical analysis |
Syllabus |
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1 |
Introduction and description of data Examples of what "Statistics" as a discipline is about, populations and samples, graphical summaries, shape, location and spread of data. Elements of Probability Theory Intuitive meaning of probability, events, compound events, conditional probability and Bayes'' rule. Probability Distributions Discrete and continuous random variables: the probability mass function, the probability density function and distribution function. Expectation and Variance. The Binomial and Poisson distributions. The Normal Distribution. Approximations. Statistical Inference The principles of hypothesis testing, the chi-squared test of goodness of fit, the chi-squared test of association, central limit theorem, Normal confidence intervals. Statistics using Minitab. |
Recommended Texts |
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Reading lists are managed at readinglists.liverpool.ac.uk. Click here to access the reading lists for this module. Explanation of Reading List: |
Pre-requisites before taking this module (other modules and/or general educational/academic requirements): |
A-level mathematics |
Co-requisite modules: |
Modules for which this module is a pre-requisite: |
MATH262; MATH263; MATH264; MATH268; MATH261; MATH265; MATH273; MATH360; MATH361; MATH362; MATH363; MATH371; MATH373; MATH374; MATH375; MATH376; MATH480; MATH481; MATH482; MATH483; MATH366; MATH364 |
Programme(s) (including Year of Study) to which this module is available on a required basis: |
Programme:G100 Year:1 Programme:G101 Year:1 Programme:G110 Year:1 Programme:GN11 Year:1 Programme:G1N3 Year:1 Programme:GG13 Year:1 Programme:NG31 Year:1 Programme:GL11 Year:1 |
Programme(s) (including Year of Study) to which this module is available on an optional basis: |
Programme:G1F7 Year:1 Programme:G1R9 Year:1,2 Programme:GR11 Year:1 Programme:GV15 Year:1 Programme:GG14 Year:1 Programme:BCG0 Year:1 Programme:L000 Year:1 Programme:Y001 Year:1 Programme:G1X3 Year:2 |
Assessment |
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EXAM | Duration | Timing (Semester) |
% of final mark |
Resit/resubmission opportunity |
Penalty for late submission |
Notes |
Unseen Written Exam | 150 | Second semester | 80 | Yes | Standard UoL penalty applies | Assessment 2 Notes (applying to all assessments) 10% Minitab practical homeworks, 10% coursework, 80% final exam. Final exam rubric: full marks will be awarded for complete answers to all questions. |
CONTINUOUS | Duration | Timing (Semester) |
% of final mark |
Resit/resubmission opportunity |
Penalty for late submission |
Notes |
Coursework | Second semester | 20 | None: exemption approved November 2007 | University policy. | Assessment 1 |